




'''simple docstring'''


def     SCREAMING_SNAKE_CASE							(   a_						:				Optional[int]					,       a_						:				Optional[Any]      ):
  return (pointa[0] - pointa[0]) ** 2 + (pointa[1] - pointa[1]) ** 2


def     SCREAMING_SNAKE_CASE							(   a_						:				str					,       a_						:				Union[str, Any]=0      ):
  return sorted(a_					,       key=lambda a_      : x[column]      )


def     SCREAMING_SNAKE_CASE							(   a_						:				int					,       a_						:				List[str]					,       a_						:				int=float('inf'      )      ):

  for i in range(points_counts - 1      ):
    for j in range(i + 1					,       a_      ):
      __a								=       euclidean_distance_sqr(points[i]					,       points[j]      )
      if current_dis < min_dis:
        __a								=       current_dis
  return min_dis


def     SCREAMING_SNAKE_CASE							(   a_						:				Any					,       a_						:				List[Any]					,       a_						:				Any=float('inf'      )      ):

  for i in range(min(6					,       points_counts - 1      )					,       a_      ):
    for j in range(max(0					,       i - 6      )					,       a_      ):
      __a								=       euclidean_distance_sqr(points[i]					,       points[j]      )
      if current_dis < min_dis:
        __a								=       current_dis
  return min_dis


def     SCREAMING_SNAKE_CASE							(   a_						:				List[str]					,       a_						:				Tuple					,       a_						:				List[Any]      ):

  # base case
  if points_counts <= 3:
    return dis_between_closest_pair(a_					,       a_      )

  # recursion
  __a								=       points_counts // 2
  __a								=       closest_pair_of_points_sqr(
      a_					,       points_sorted_on_y[:mid]					,       a_      )
  __a								=       closest_pair_of_points_sqr(
      a_					,       points_sorted_on_y[mid:]					,       points_counts - mid      )
  __a								=       min(a_					,       a_      )
  __a								=       []
  for point in points_sorted_on_x:
    if abs(point[0] - points_sorted_on_x[mid][0]      ) < closest_pair_dis:
      cross_strip.append(a_      )

  __a								=       dis_between_closest_in_strip(
      a_					,       len(a_      )					,       a_      )
  return min(a_					,       a_      )


def     SCREAMING_SNAKE_CASE							(   a_						:				Union[str, Any]					,       a_						:				Optional[Any]      ):
  __a								=       column_based_sort(a_					,       column=0      )
  __a								=       column_based_sort(a_					,       column=1      )
  return (
      closest_pair_of_points_sqr(
          a_					,       a_					,       a_      )
  ) ** 0.5


if __name__ == "__main__":
  UpperCAmelCase_					=   [(2, 3), (12, 30), (40, 50), (5, 1), (12, 10), (3, 4)]
  print("Distance:", closest_pair_of_points(points, len(points)))









'''simple docstring'''


import math


def     SCREAMING_SNAKE_CASE							(   a_						:				float					,       a_						:				float      ):

  if initial_intensity < 0:
    raise ValueError('The value of intensity cannot be negative'      )
    # handling of negative values of initial intensity
  if angle < 0 or angle > 360:
    raise ValueError('In Malus Law, the angle is in the range 0-360 degrees'      )
    # handling of values out of allowed range
  return initial_intensity * (math.cos(math.radians(a_      )      ) ** 2)


if __name__ == "__main__":
  import doctest

  doctest.testmod(name="malus_law")



